Mathematics
Grade10
Easy
Question
When the temperature falls to -19°F or below, the school is cancelled. Which inequality shows the temperatures that would close the school?
- x > – 19
- x ≥ – 19
- x < – 19
- x ≤ – 19
Hint:
We are given a statement. We have to write the expression of inequality for the given statement. We have to see the limits given for the required value.
The correct answer is: x ≤ – 19
The given statement is as follows:
When temperature falls to -19°F or below, the school is cancelled.
We are asked the inequality that will close the school.
Let represent the temperature by x.
Temperature falls to -19°F or below means, the temperature is equal to the given quantity or less than it. For the temperature above this value the school will remain open.
So, the variable x should be less than or equal to -19°F for school to remain closed.
The sign for less than or equal to -19°F is “≤ -19°F”
The mathematical representation of the inequality is as follows:
x ≤ -19°F
This is the given inequality.
For such questions, we have to be careful about the limits.